64033632 has 96 divisors (see below), whose sum is σ = 201166560. Its totient is φ = 19699200.

The previous prime is 64033621. The next prime is 64033657. The reversal of 64033632 is 23633046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×64033632² = 8200612054222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64033596 and 64033605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382 + ... + 14082.

It is an arithmetic number, because the mean of its divisors is an integer number (2095485).

Almost surely, 2^64033632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100583280).

64033632 is an abundant number, since it is smaller than the sum of its proper divisors (137132928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64033632 is a wasteful number, since it uses less digits than its factorization.

64033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 64033632 is about 8002.1017239223. The cubic root of 64033632 is about 400.0700543969.

Adding to 64033632 its reverse (23633046), we get a palindrome (87666678).

The spelling of 64033632 in words is "sixty-four million, thirty-three thousand, six hundred thirty-two".